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Math Max min problems

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The power P delivered to a load by a current of i amperes through a resistance of 19 ohms, when 110 volts are supplied at one end of the line, is given by the formula P = 110i - 19i2 . Determine the maximum power that can be delivered.

maximum power in watts =


My Answer:
My answer is:

P=110i-19i^2
P'=110-38i
0=110-38i
i=2.8947
P"=-38 therefore a max

Max Power in watts = 2.8947

can you please confirm this is correct. Thanks

  • Math Max min problems -

    no, maximum power is P(2.8947) = 159.211

  • Math Max min problems -

    ok. I understand that you took the value and plugged in for i. But can I ask why...

  • Math Max min problems -

    because they asked for maximum power, not the current which produces maximum power. Just because you arrive at an answer, that does not mean you have answered the question.

  • Math Max min problems -

    Ok.... great. thank you Steve. I know understand!

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